From the Dynamics of Charged Particles to a Regularized Vlasov-Maxwell System

François Golse (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

The present paper establishes the mean-field limit of the Abraham system for a system of identical charged particles subject to the electromagnetic interaction. This mean-field limit leads to a regularized variant of the relativistic Vlasov-Maxwell system. The result obtained here is similar to the one obtained in [F. Golse, Commun. Math. Phys. 310 (2012), 789-816], but is obtained by a purely Eulerian description of the particle dynamics.

Domains: Mathematics [math]; Analysis of PDEs [math.AP]

François Golse. From the Dynamics of Charged Particles to a Regularized Vlasov-Maxwell System. Frontiers in Science and Engineering (international journal), 2016, 6 (1), pp.27-40. ⟨hal-01721162⟩